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Finding the Fourth Proportional to 7,163.41, 10,696.86 and 5,849.73

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Solution

The fourth proportional to 7,163.41, 10,696.86 and 5,849.73 is: 8,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.41 : 10,696.86 = 5,849.73 : x
  2. Step 2: Convert to fraction form
    7,163.41/10,696.86 = 5,849.73/x
  3. Step 3: Cross multiply
    7,163.41x = 10,696.86 × 5,849.73
  4. Step 4: Simplify right side
    7,163.41x = 62,573,742.85
  5. Step 5: Solve for x
    x = 62,573,742.85/7,163.41
  6. Step 6: Final answer
    x = 8,735.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.